QUOTE(drew hempel @ Nov 9 2007, 02:57 PM)

So you're just blatantly ignoring what I'm saying or....
NONWESTERN TUNING. Not personal taste.
Here's some examples:
raga music, traditional chinese music, gamelan music, dagomba ghana drumming, Berber hand clapping, Sufi music, Japanese flute music, Temiar Malaysian healing music, Anurada Paudwal devotional singing.
Again NONWESTERN TUNING based on the overtones used.
... overtones ... accoustics ... geometry
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http://chinesemusic.net/book_instruments_acoustics.php: As soon as the Zenghou Yi bells were discovered, we immediately lauched a massive project looking into the acoustics of ancient Chinese bronze bells. In that project we were able to, in great detail, separate th e musical bells from the non-musical bells. We studied the complete overtone structures of all existing Shang and Zhou bells and were delighted to find the acoustical design of bells of each period. In particular, the case of the zhong musical bells
established direct connection between the choice of their overtone structure and the Chinese harmonic system as we know it today. Acoustics is thus a cultural thing, in addition to being a physical thing!
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C to G is Yang as the Perfect 5th (2:3) while G to C is Yin as the Perfect 4th (3:4) and yang turns into yin, through the whole energy spectrum, thereby creating all the sensory fields, and starting from LISTENING to female formless awareness.
This illustrates "yin" & "yang" components of a diatonic (western 8/13 scale). Specifically yin yang in relationship to a tonic or root that is western.
Chinese tunings are based from the root or gong note outward, instead of from the root upwards. It is not linear like a western scale. The scale can be either yin or yang depending on minor or major relationships.
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The source of the I-thought as the source of 1 is an asymmetric resonance into female formless resonance, resonated back as the octave: 1:2.
Or as a point in a circle.
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This "pitch-shift" is asymmetric so that the 7th octave, as the 12th perfect 5th, does not return to the same frequency, but transduces, in continuation with the complimentary opposites of yang, 2:3, turning into yin, 3:4, thereby violating basic symmetry of western logic.
Pythagrean comma.
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http://www.wsu.edu/~dee/ANCJAPAN/MUSIC.HTM: In Chinese music theory, the five tones of the musical scale (called a pentatonic scale) were intimately related to all the other "fives" based on the five material agents: the directions, the seasons, organs, animals, etc. The five material agents were a sophisticated theory of change: all change, including musical change, was governed by the relationship of the five material agents either as they engendered one another or conquered one another. These two possible relationships—the sequence of the five material agents as the either engender or conquer one another—in part governed the sequence of notes in the scale.
Wood
chiao (3rd note)
Fire
cheng (4th note)
Earth
kung (1st note)
Metal
shang (2nd note)
Water
yü (fifth note)
In addition, the five material agents were collapsed in a larger notion of yang and yin, the male (creation) and female (completion) principles of change in the universe. Likewise,
the pentatonic scale was divided into a male scale and a female scale, or ryo and ritsu in Japanese.
The most important note in the pentatonic scale is the third note of the scale, called the "cornerstone"—in the correspondences with the five material agents, the "cornerstone" corresponds to the agent wood (and so to Spring and the East, or beginnings, and jen , or "benevolence, humaneness," the most important of the virtues). While in the West we define tonal scales based on the first note of the scale (called the tonic), in Chinese and Japanese music, the scale is defined by the cornerstone, or third note.
If the relationship between the first note (kung , which corresponds to the earth agent and the center) of the scale and the cornerstone form a perfect third (if you play middle C and E on a piano, you're playing a perfect third), the scale is male; if these two notes form a perfect fourth (like middle C and F on a piano), the scale is female. Here, check this out. Go to a piano and play only the black keys—that's a pentatonic scale. If you play a scale starting at C sharp, you're playing a male scale—the first note is C sharp and the cornerstone is F sharp, a perfect third. If you play a five note scale starting at D sharp, you're playing a female scale—the first note is D sharp and the cornerstone is G sharp, a perfect fourth.
Finally, Chinese and Japanese musical theory were based on the
eight categories of sound (Chinese: pa yin ): metal (bells), stone (stone chimes), earth (ocarina), leather (drums), silk (stringed instruments), wood (double reed wind instruments), gourd (sho , or mouth organ), and bamboo (flute).
Refreshing,
Spectrum